What is the Least Common Multiple of 92027 and 92044?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 92027 and 92044 is 8470533188.
LCM(92027,92044) = 8470533188
Least Common Multiple of 92027 and 92044 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92027 and 92044, than apply into the LCM equation.
GCF(92027,92044) = 1
LCM(92027,92044) = ( 92027 × 92044) / 1
LCM(92027,92044) = 8470533188 / 1
LCM(92027,92044) = 8470533188
Least Common Multiple (LCM) of 92027 and 92044 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92027 and 92044. First we will calculate the prime factors of 92027 and 92044.
Prime Factorization of 92027
Prime factors of 92027 are 13, 7079. Prime factorization of 92027 in exponential form is:
92027 = 131 × 70791
Prime Factorization of 92044
Prime factors of 92044 are 2, 23011. Prime factorization of 92044 in exponential form is:
92044 = 22 × 230111
Now multiplying the highest exponent prime factors to calculate the LCM of 92027 and 92044.
LCM(92027,92044) = 131 × 70791 × 22 × 230111
LCM(92027,92044) = 8470533188
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